Initial bounds for certain classes of bi-univalent functions defined by the (p, q)-lucas polynomials
Citation
Magesh, N., Abirami, C. & Altınkaya, Ş. (2021). Initial bounds for certain classes of bi-univalent functions defined by the (p, q)-lucas polynomials. TWMS Journal of Applied and Engineering Mathematics, 11(1), 282-288.Abstract
Our present investigation is motivated essentially by the fact that, in Geometric Function Theory, one can find many interesting and fruitful usages of a wide variety of special functions and special polynomials. The main purpose of this article is to make use of the (p, q)− Lucas polynomials Lp,q,n(x) and the generating function GLp, q, n(x)(z), in order to introduce three new subclasses of the bi-univalent function class Σ. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete-Szeg¨o inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.
Source
TWMS Journal of Applied and Engineering MathematicsVolume
11Issue
1URI
https://hdl.handle.net/11729/3071http://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/684
Collections
The following license files are associated with this item:
Related items
Showing items related by title, author, creator and subject.
-
New subclasses of bi-univalent functions of complex order associated with hypergeometric functions
Murugusundaramoorthy, Gangadharan; Güney, Hatun Özlem; Kaliyappan, K. Vijaya (Işık University Press, 2021)In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coefficient estimates for functions in these classes are obtained. Several new (or ... -
Integral involving aleph-function and the generalized incomplete hypergeometric function
Kumar, Dinesh; Ayant, Frederic; Uçar, Faruk (Işık University Press, 2020)The aim of this paper is to establish a general definite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unified and general in nature, ... -
Harmonic mappings related to the m-fold starlike functions
Aydoğan, Seher Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Elsevier Science Inc, 2015-09-15)In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ...